A028174 Expansion of 1/((1-5x)(1-6x)(1-9x)(1-10x)).

1, 30, 571, 8820, 120841, 1533210, 18457111, 213985200, 2412703381, 26633396790, 289205203651, 3099825799980, 32880061861921, 345809114026770, 3611607266342191, 37500386320109160, 387478849831268461

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (30, -329, 1560, -2700).

Formula

a(n)=(2*10^(n+2)-3*9^(n+2)+2*6^(n+2)-5^(n+2))/4. [Yahia Kahloune, Jun 03 2013]

a(0)=1, a(1)=30, a(2)=571, a(3)=8820, a(n)=30*a(n-1)-329*a(n-2)+ 1560*a(n-3)- 2700*a(n-4). - Harvey P. Dale, Nov 07 2013

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-9x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -329, 1560, -2700}, {1, 30, 571, 8820}, 20] (* Harvey P. Dale, Nov 07 2013 *)

Crossrefs

Sequence in context: A028200 A028181 A177097 * A028149 A028172 A028147

Adjacent sequences: A028171 A028172 A028173 * A028175 A028176 A028177

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved